Answer:
8(1 +√2)
Step-by-step explanation:
The perimeter is the sum of the sides of the figure
Taking 1 square box as 1 unit
Get the slant side using the pythagoras theorem;
l² = 2² + 2²
l² = 4 + 4
l² = 8
l =√8
Perimeter = 4(√8) + 4 + 4
Perimeter = 8 + 4√8
Perimeter = 8 + 4*2√2
Perimeter = 8 + 8√2
Perimeter = 8(1 +√2)
hence the perimeter of the shape is 8(1 +√2)
